Question

Q13. Factorize : 3m2 +9m +6.

Answer 1

3m²+9m+6
3m²+3m+6m+6
3m(m+1)+6(m+1)
(m+1)(3m+6)
3(m+1)(m+2)
Hope this helps

Answer 2

Answer:

3(m+1)(m+2)

Explanation:

Given quadratic expression:

3m²+9m+6

= 3(m²+3m+2) /* taking 3 common */

= 3(m²+1m+2m+2) /* splitting the middle term */

= 3[ m(m+1)+2(m+1)]

= 3(m+1)(m+2)

Therefore,

Factors of 3m²+9m+6 = 3(m+1)(m+2)

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